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3 years ago

Write a possible explicit rule for the nth term of the sequence: 1/2, 2/3, 3/4, 4/5, 5/6

2 answers:

5 0

We are given the sequence 1/2, 2/3, 3/4, 4/5, 5/6. In this case, we are asked to determine the formula that represents the sequence. We can use trial and error to determine the formula. It is seen that this is not an arithmetic nor a geometric sequence. The sequence that makes sense here is A. an = n/(n + 1)

mart [117]3 years ago

4 0

I would pick A because if you look and plug in, you would get all your answers. A)an=n/(n+1) n= 1,2,3,4,5 a(1) = 1/(1+1) =1/2 a(3) = 3/(3+1) = 3/4

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The price of a flash drive that regularly sells for $16 is increased by 15% . Write two different expressions the find the new p

elena-14-01-66 [18.8K]

I may be wrong but I hope I am not. But one expression is 16 × .15 and another is 16 × 15/100. When multiplying percentages you have to move the decimal that is invisbly behind the last number, two places to the left. The answer you get is the percentage of the price. You would then take the answer and add it to the price. The answer to the multiplication problem is 2.40. You then add the 2.40 to the $16 and that's the new price.

5 0

3 years ago

The Rusty Metal Roller Coaster at the fair charges $2.50 for children and $4 for adults. Before the safety inspector shuts down

sergij07 [2.7K]

Answer:

B, 110

Step-by-step explanation:

Work Backwards!

1.- 260 - 110 = 150 children

2.- 150 X $2.50 (rate of children) = $375

3.- $815 - $375 = $440

4.- $440/$4 (rate of adults) = 110 Adults

7 0

3 years ago

Josh went to applebee and enjoyed a delicious steak. He enjoyed his server and wanted to give an extra special tip. Usually josh

Sonbull [250]

Answer:

Josh's total bill is $ 27.825

Step-by-step explanation:

Given:

The subtotal of the Josh Bill = $21.00

Finding the usual amount Josh gave as Tip To his sever:

Usually josh tips 20% to all servers

So Tip = 20% of his subtotal

=> $20\% \times 21$

=> $\frac{20}{100} \times 21$

=> $0.2 \times 21$

=>4.2

So Josh usually tips $4.2 to his server

Finding the amount Josh gave 25% as Tip To his sever:

But now he tips 25% which is

=> 25% of 21

=> $\frac{25}{100} \times 21$

=> $0.25 \times 21$

=> 5.25

Thus the tip amount will be $5.25

So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip

Finding the total bill

The total bill = subtotal+ 7.5% sales tax + 25% tip

=> 21 + 7.5 % of 21 + 25% of 21

=> $21 + \frac{75}{100} \times 21 + \frac{25}{100} \times 21$

=> $21 +0.075 \times 21 + 0.25 \times 21$

=> 21 +1.575 +5.25

=>27.825

3 0

3 years ago

When you walk across the carpet and touch a metal doorknob, you create a spark. This occurs because ______________.

Alexeev081 [22]

Answer:

Step-by-step explanation:

7 0

3 years ago

What is the value of c so that -12 and 12 are both solutions of x^2-c=108?

murzikaleks [220]

Answer:

c=36

Step-by-step explanation:

Because $x^2-c=108$ can be rewritten as $x^2-c-108=0$ , finding the value of c so that x=(+-)12 solves this equation it means to find the value of c so that $(+-)12^2-c-108=0$ .
Because $12^2=(-12)^2=144$ , we must find c so that $144-c-108=0$ .
Because $144-108=36$ , c=36.
To check, replace c=36 in the initial equation, and check it is a solution for x=(+-)12.

8 0

3 years ago